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yKpoI14uk [10]
3 years ago
7

HELP ME PLS!!!!!!! Using limits, for which value of x is the function continuous? Check all that apply. –2 –1 0 3 5

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

1st 3rd and last option

Step-by-step explanation:

just did it on edge:)

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g My Notes Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. Find
Arada [10]

Answer:

4,200 liters

Step-by-step explanation:

The flow rate is given by:

r(t) = 200 - 4t

Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:

\int\limits^{30}_0 {r(t)} = \int\limits^{30}_0 {(200 - 4t} )\, dt \\V=(200t - 2t^2)|_0^{30}\\V= (200*30 -2*30^2)-(200*0 -2*0^2)\\V=4,200\ liters

4,200 liters of water flow from the tank during the first 30 minutes.

3 0
3 years ago
SJSKSJSKSJ d help :p
zloy xaker [14]

Answer:

Below

Step-by-step explanation:

Discount: 40% of $159 = $63.60

Price you pay: $159 - $63.60 = $95.40

7 0
3 years ago
Name the plane that is highlighted in the diagram below
larisa86 [58]

The plane that is highlighted inside the given cuboid is called a Rectangle.

<h3>What is the Plane in the given solid?</h3>

A cross-section is the intersection of a solid and a plane. Plane Figures and defined as solid shapes.

In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. These figures demonstrate the shape of objects we see in our everyday lives. There are different types of 2D shapes and 3D shapes. The plane shapes are two-dimensional closed shapes with no thickness and are known as 2D shapes.

Solid shapes are nothing but solids with three dimensions: length, breadth, and height. Solid shapes are also known as 3D shapes.

Now, looking at the given figure we see that it is a cuboid and we see that the 2 dimensional plane cut through it is clearly a rectangle.

Thus, we can conclude that the plane that is highlighted inside the given cuboid is called a Rectangle.

Read more about Plane in Solid at; brainly.com/question/1609720

#SPJ1

3 0
2 years ago
A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6
Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

           Length of street light AB = 25 ft

           Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate (\frac{dw}{dt}) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, \frac{dx}{dt}=6 feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

\frac{x}{21}=\frac{x+y}{25}

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = \frac{4x}{21}

Now we take the derivative on both the sides,

\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}

= \frac{4}{21}\times 6

= \frac{8}{7}

≈ 1.14 ft per sec.

Since w = x + y

Therefore, \frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}

\frac{dw}{dt}=6+1.14

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0
3 years ago
Credit card A offers an APR of 23.16%, compounded monthly, while credit card B offers an APR of 23.02%, compounded daily. All el
GREYUIT [131]
Daily interest rate it's the worst. And it's called simple interest loan
6 0
3 years ago
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